Question : A retailer gets a 40% discount on the printed price of an article. The retailer sells it at the printed price. His gain percentage is:
Option 1: $40$%
Option 2: $55$%
Option 3: $66\frac{2}{3}$%
Option 4: $75$%
Correct Answer: $66\frac{2}{3}$%
Solution :
Given:
A retailer gets a 40% discount on the printed price of an article. The retailer sells it at the printed price.
Let the printed price = Rs. 100
Discount = 40%
So, cost price = (100 – 40) = Rs. 60
and selling price = Rs. 100
Therefore, the gain percentage = $\frac{\text{Selling Price – Cost Price}}{\text{Cost Price}}×100$% = $(\frac{100 – 60}{60})×100$% = $\frac{200}{3}$% = $66\frac{2}{3}$%.
Hence, the correct answer is $66\frac{2}{3}$%.
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